时标上的推广的Pachpatte型不等式及其在边值问题中的应用

Abstract

Abstract:

In this paper, using a technique of monotonization, the authors investigate a generalized Pachpatte type integral inequality on time scales, which includes both a non-constant term outside the integrals and three distinct nonlinear integrals without assumption of monotonicity. The result not only unifies some continuous inequalities and their discrete analogues but also extends some known dynamic inequalities
on time scales. An application of the result to the estimation of a solution of boundary value problem on time scales is given.

Key words: Inequalities, Monotonization, Time scales, Boundary value problem

CLC Number:

34B15

WANG Wu-Sheng, ZHOU Xiao-Liang. A Generalized Pachpatte Type |Inequality on Time Scales and Application to a Boundary Value Problem[J].Acta mathematica scientia,Series A, 2012, 32(2): 404-413.

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A Generalized Pachpatte Type |Inequality on Time Scales and Application to a Boundary Value Problem

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